Whakaoti i te 101/2/2frac{1{4}}

$$\frac { 10 \frac { 1 } { 2 } } { 2 \frac { 1 } { 4 } }$$

Aromātai

$$\frac{14}{3}\approx 4.666666667$$

Ngā Upane Otinga

Whakawehe \frac{10\times 2+1}{2} ki te \frac{2\times 4+1}{4} mā te whakarea \frac{10\times 2+1}{2} ki te tau huripoki o \frac{2\times 4+1}{4}.

$$\frac{\left(10\times 2+1\right)\times 4}{2\left(2\times 4+1\right)}$$

Me whakakore tahi te 2 i te taurunga me te tauraro.

$$\frac{2\left(1+2\times 10\right)}{1+2\times 4}$$

Whakareatia te 2 ki te 10, ka 20.

$$\frac{2\left(1+20\right)}{1+2\times 4}$$

Tāpirihia te 1 ki te 20, ka 21.

$$\frac{2\times 21}{1+2\times 4}$$

Whakareatia te 2 ki te 21, ka 42.

$$\frac{42}{1+2\times 4}$$

Whakareatia te 2 ki te 4, ka 8.

$$\frac{42}{1+8}$$

Tāpirihia te 1 ki te 8, ka 9.

$$\frac{42}{9}$$

Whakahekea te hautanga \frac{42}{9} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 3.

$$\frac{14}{3}$$

Tauwehe

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$